Instead of letting Hubble burn up in the atmosphere, why not just push it out of its orbit so it can continue to take pictures as it drifts away?

Hubble will be used up until the point at which its instruments no longer function, which means the telescope will not be de-orbited until it has finished its useful lifetime as an astronomical observatory. When Hubble is no longer able to provide forefront science, it will be shut down. Sending Hubble into a higher orbit at that time will not provide any added benefit.

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